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A small hexagon was graphed on a coordinate plane. By what scale factor was the hexagon dilated to create the larger hexagon?


A) 2


B) 1/2


C) 2/3


D) 3/2

A small hexagon was graphed on a coordinate plane By what scale factor was the hexagon dilated to create the larger hexagonA 2B 12C 23D 32 class=

Respuesta :

Consider the point where the hexagons meet the positive half of the y axis.

The inner hexagon meets the axis at [tex] y=4 [/tex], whereas the outer hexagon meets the axis at [tex] y = 6 [/tex]

So, we're looking for a dilation constant [tex] k [/tex] such that

[tex] 4k = 6 [/tex]

So, solving by k we have

[tex] k = \dfrac{6}{4} = \dfrac{3}{2} [/tex]

Answer: is D 3/2

Step-by-step explanation:

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